Finding the Third Proportional to 13,963.50 and 31,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,963.50 : 31,578.75 = 31,578.75 : x
2. Step 2: Convert to fraction form
   13,963.50/31,578.75 = 31,578.75/x
3. Step 3: Cross multiply
   13,963.50x = 31,578.75 × 31,578.75
4. Step 4: Simplify right side
   13,963.50x = 997,217,451.56
5. Step 5: Solve for x
   x = 997,217,451.56/13,963.50
6. Step 6: Final answer
   x = 71,416.01